Abstract

The study focuses on deformation and stability of structurally nonuniform rock masses in the vicinity of a mined-out void. Rock masses can for a long time accumulate energy of external forces as internal stresses. The accumulated energy can release both as aseismic relaxation of stresses and as rock bumps and rock bursts. The numerical analysis uses the rock mass model including self-balancing stresses and strength loss. The paper gives examples of calculations of standard problems in mining and illustrates feasibility of modeling disastrous pressure phenomena.

Highlights

  • Modern geomechanics is developing along the path of increasingly complex mathematical modeling of rocks and rock masses

  • The block structure and pores filled with weaker rocks or fluids need that mathematical models include the nonlinear poroelastic properties of rocks, anisotropy and possible loss of strength

  • Subject to certain conditions, such unbalance can be accompanied with aseismic relaxation of stresses, or can result in disastrous phenomena induced by lithostatic pressure, such as seismic activity, rock bumps and rock bursts [7–9]

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Summary

Introduction

Modern geomechanics is developing along the path of increasingly complex mathematical modeling of rocks and rock masses. The block structure and pores filled with weaker rocks or fluids need that mathematical models include the nonlinear poroelastic properties of rocks, anisotropy and possible loss of strength. For another thing, an evolving nonuniform rock mass can accumulate elastic energy in the form of internal self-balancing stresses, and some areas of rock mass can represent potential sources of energy. An evolving nonuniform rock mass can accumulate elastic energy in the form of internal self-balancing stresses, and some areas of rock mass can represent potential sources of energy This fact is proved by field observations and lab-scale experiments [1–6]. This study considers the problem on modeling of dynamic phenomena induced by strata pressure in rock mass in the vicinity of underground openings using a plane model of structurally nonuniform rock as an active environment with inner sources and sinks of energy [22, 23]

Mathematical model
Formulation of boundary value problems
Calculation data
Full Text
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